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3 years ago

Figure WXYZ is a parallelogram.

Mathematics

2 answers:

vovangra [49]3 years ago

6 0

Answer:

Hence, the correct answer is:

m∠X=55°
m∠Z=55°
m∠W=125°

Step-by-step explanation:

We know that consecutive angles of a parallelogram are supplementary.

As m∠Y=125°.

Hence, by the above property we have:

m∠Y+m∠X=180°

125°+m∠X=180°

Hence, m∠X=180°-125°

⇒ m∠X=55°

Also,

m∠Y+m∠Z=180°

⇒ 125°+m∠Z=180°

⇒ m∠Z=180°-125°

⇒ m∠Z=55°

Also, m∠Z+m∠W=180°

⇒ 55°+m∠W=180°

⇒ m∠W=180°-55°

⇒ m∠W=125°

Viktor [21]3 years ago

3 0

M<X=55° hope this helps

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elena-s [515]

Answer:

Step-by-step explanation:

If these two shapes are similar, then ratios of corresponding sides will stay constant. Therefore:

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Multiply both sides by 45:

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2 years ago

Tyler baked 702 cookies. He sold them in boxes of 1i. After selling all the boxes of cookies for the same amount each he earned

ikadub [295]

Answer:

$3.5

Step-by-step explanation:

We have been given that Tyler baked 702 cookies. He sold them in boxes of 18.

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2 years ago

(See Attachment)

vesna_86 [32]

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3 years ago

Given: △CGF ,CG=GF=CF=and, KOPS is a square inside this triangle with one side on CF and its two vertices on CG and GF

shepuryov [24]

Answer:

AKPOS/ACGF = 28√3 -48 ≈ 0.497423

Step-by-step explanation:

Let's assume the square is a unit square. Then the height of the triangle is ...

1 +(√3)/2 = h

and half the base of the triangle is ...

h/√3 = (√3)/3 +1/2 = b/2

The area of the triangle is the product of these:

A = (1/2)bh

= (2 +√3)/2 × (3 +2√3)/6

= (6 +3√3 +4√3 +6)/12 = (12 +7√3)/12

So, the ratio of the area of the square to that of the triangle is the inverse of this, or ...

(square area)/(triangle area) = 12/(12+7√3)

(square area)/(triangle area) = 28√3 -48

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3 years ago